Re: S-Unit questions

[hermann@stamm-wilbrandt.de]

On 2026-03-12 16:09, hermann@stamm-wilbrandt.de wrote:
> The number of solutions to S-Unit equation (u+v=1, u,v S-Units)
> https://en.wikipedia.org/wiki/S-unit#S-unit_equation
>
> is finite. That section also says such a solver can be found here, I 
> will try:
> https://en.wikipedia.org/wiki/SageMath
Never used SageMath before, and it took many iterations with Gemini to 
get error free code.
I changed to use ℚ instead of ℚ(i) and added generator output:
https://gist.github.com/Hermann-SW/b538c991c922b1e8fc06abbab554b3ef

hermann@7950x:~$ time Downloads/SageMath-10.8-x86_64.AppImage 
S-Unit.sol.sage
Generators:
-1
2
3
Found 11 solutions:
2 + -1 == 1
--------------------
-1/8 + 9/8 == 1
--------------------
1/9 + 8/9 == 1
--------------------
3 + -2 == 1
--------------------
4 + -3 == 1
--------------------
3/4 + 1/4 == 1
--------------------
1/3 + 2/3 == 1
--------------------
4/3 + -1/3 == 1
--------------------
-1/2 + 3/2 == 1
--------------------
-8 + 9 == 1
--------------------
1/2 + 1/2 == 1
--------------------

real	4m45.409s
user	4m46.018s
sys	0m0.187s
hermann@7950x:~$


Regards,

Hermann.